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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 627 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 38 (b) 40 (c) 33 (d) 68
  2. 2.What is the average of all the whole numbers from 12 to 18? (a) 6 (b) 15 (c) 16 (d) 3
  3. 3.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 20 (b) 59 (c) 54 (d) 69
  4. 4.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 129 (b) 57 (c) 65 (d) 80
  5. 5.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 56 (b) 54 (c) 8 (d) 60
  6. 6.What is the average of 38, 42, 20, 44, 24 and 24? (a) 32 (b) 34 (c) 33 (d) 31
  7. 7.What is the average of all the whole numbers from 58 to 76? (a) 68 (b) 18 (c) 9 (d) 67
  8. 8.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 38 (b) 12 (c) 29 (d) 32
  9. 9.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 14 (b) 70 (c) 48 (d) 36
  10. 10.What is the average of 33, 47, 28 and 28? (a) 35 (b) 34 (c) 33 (d) 36
  11. 11.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 16 (b) 78 (c) 40 (d) 54
  12. 12.What is the average of all the whole numbers from 11 to 21? (a) 10 (b) 17 (c) 16 (d) 5
  13. 13.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 18 (c) 11 (d) 8
  14. 14.What is the average of all the whole numbers from 46 to 86? (a) 40 (b) 20 (c) 66 (d) 67
  15. 15.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 15 (c) 67 (d) 47
  16. 16.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 37 (b) 32 (c) 31 (d) 75
  17. 17.What is the average of all the whole numbers from 15 to 37? (a) 27 (b) 22 (c) 26 (d) 11
  18. 18.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 111 (c) 63 (d) 62
  19. 19.What is the average of 34, 55, 37, 30 and 64? (a) 45 (b) 55 (c) 43 (d) 44
  20. 20.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 20 (b) 25 (c) 13 (d) 8
  21. 21.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 50 (b) 34 (c) 20 (d) 38
  22. 22.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 33 (b) 31 (c) 18 (d) 47
  23. 23.What is the average of all the whole numbers from 24 to 52? (a) 38 (b) 39 (c) 28 (d) 14
  24. 24.What is the average of all the whole numbers from 49 to 57? (a) 53 (b) 4 (c) 8 (d) 54
  25. 25.What is the average of 57, 36, 41, 36 and 65? (a) 49 (b) 46 (c) 47 (d) 48
  26. 26.What is the average of all the whole numbers from 27 to 47? (a) 20 (b) 38 (c) 10 (d) 37
  27. 27.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 12 (c) 57 (d) 66
  28. 28.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 90 (b) 58 (c) 50 (d) 48
  29. 29.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 29 (b) 30 (c) 45 (d) 94
  30. 30.What is the average of all the whole numbers from 54 to 64? (a) 60 (b) 59 (c) 5 (d) 10
  31. 31.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 34 (b) 36 (c) 62 (d) 30
  32. 32.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 56 (b) 33 (c) 41 (d) 81
  33. 33.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 60 (b) 51 (c) 12 (d) 54
  34. 34.What is the average of 76, 69, 75, 76, 67 and 45? (a) 69 (b) 67 (c) 68 (d) 70
  35. 35.What is the average of all the whole numbers from 16 to 32? (a) 25 (b) 24 (c) 8 (d) 16
  36. 36.What is the average of 65, 66, 55, 61, 48 and 17? (a) 54 (b) 51 (c) 52 (d) 53
  37. 37.What is the average of 50, 36, 37, 39, 50 and 4? (a) 35 (b) 38 (c) 37 (d) 36
  38. 38.What is the average of all the whole numbers from 41 to 47? (a) 45 (b) 6 (c) 44 (d) 3
  39. 39.What is the average of 26, 27, 50, 23 and 54? (a) 35 (b) 37 (c) 36 (d) 45
  40. 40.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 8 (b) 68 (c) 41 (d) 35

Answer key

  1. 68
  2. 15
  3. 69
  4. 129
  5. 60
  6. 32
  7. 67
  8. 38
  9. 48
  10. 34
  11. 54
  12. 16
  13. 18
  14. 66
  15. 47
  16. 31
  17. 26
  18. 111
  19. 44
  20. 20
  21. 50
  22. 47
  23. 38
  24. 53
  25. 47
  26. 37
  27. 66
  28. 90
  29. 29
  30. 59
  31. 62
  32. 81
  33. 60
  34. 68
  35. 24
  36. 52
  37. 36
  38. 44
  39. 36
  40. 41

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